Fiona's Skateboard Ramp Ride: Solving v^2 Equation

In summary, Fiona rides her skateboard up a ramp with an initial speed of 8.0m/s and a constant deceleration of 2.0m/s. Ignoring air resistance and friction, we can use the equation v^2 = u^2 + 2ax to calculate the distance she travels up the ramp before coming to a stop, the time it takes her to reach the highest point, and her velocity after 5.0s has elapsed. Part A) asks for the distance, part B) for the time, and part C) for the velocity. It is important to note that the value of 9.8 used in the equation is not for an x-value, but for the acceleration due to
  • #1
miles johnstone
5
0
Fiona rides her skate board up a ramp. She begins with a speed of 8.0m/s but slows with a constent deccsalerarion of 2.0m/s. She tracked some distance up the ramp before coming to rest, then rolled down again. Ignoring air resistance and friction; calculate.
A) the distance that Fiona travels up the ramp before stopping.
B) the time that it takes Fiona to tech this highest point.
C) Fiona's velocity after 5.0s has elapsed.

v^2 = u^2+2ax
v^2=8^2+2XaX9.8
 
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  • #2
miles johnstone said:

v2 = u2+2ax
v2 = 82+2 a 9.8
That doesn't go far in fullfilling the mandatory PF requirements to use the template ! You must have seen it come by:
1. Homework Statement
2. Homework Equations
3. The Attempt at a Solution​

I recognize the equation, but do you know what it is and what it means ? I fear with great fear, since I see you fill in 9.8 for an x in the line above, so that's why I ask.

Note that part A) asks for a distance, part B) for a time and part C) for a velocity.
 
  • #3
Visualize the motion on velocity vs. time graph.
 
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Related to Fiona's Skateboard Ramp Ride: Solving v^2 Equation

1. How did Fiona use the v^2 equation in her skateboard ramp ride?

Fiona used the v^2 equation, also known as the velocity squared equation, to calculate her speed at different points on the ramp. By plugging in her initial velocity, the acceleration due to gravity, and her height at various points, she was able to determine her speed and make adjustments to her ride.

2. What is the significance of the v^2 equation in physics?

The v^2 equation is a fundamental equation in physics that relates velocity, acceleration, and distance. It is often used to analyze motion in one dimension and is an important tool for solving problems involving constant acceleration.

3. Can the v^2 equation be used for any type of motion?

No, the v^2 equation is only applicable to motion with constant acceleration. In situations where acceleration is not constant, more advanced equations must be used.

4. How does solving the v^2 equation help in designing skateboard ramps?

By solving the v^2 equation, designers can better understand the speed and force with which a skateboarder will encounter different parts of the ramp. This information can be used to ensure the ramp is safe and appropriately designed for different skill levels.

5. Are there any limitations to using the v^2 equation in skateboarding?

While the v^2 equation can provide valuable information for skateboarders, it does not take into account factors such as friction, air resistance, and non-uniform surfaces. These factors can affect the actual speed and movement of the skateboarder on the ramp, so they should also be considered in addition to the v^2 equation.

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